54348943506865405440
54,348,943,506,865,405,440 is an even composite number composed of six prime numbers multiplied together.
54348943506865405440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 54348943506865405440:
29 × 3 × 5 × 7 × 97 × 10422217013927
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 97 × 10422217013927)See below for interesting mathematical facts about the number 54348943506865405440 from the Numbermatics database.
Names of 54348943506865405440
- Cardinal: 54348943506865405440 can be written as Fifty-four quintillion, three hundred forty-eight quadrillion, nine hundred forty-three trillion, five hundred six billion, eight hundred sixty-five million, four hundred five thousand, four hundred forty.
Scientific notation
- Scientific notation: 5.434894350686540544 × 1019
Factors of 54348943506865405440
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 10422217014041
Divisors of 54348943506865405440
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 97 105 112 120 128 140 160 168 192 194 210 224 240 256 280 291 320 336 384 388 420 448 480 485 512 560 582 640 672 679 768 776 840 896 960 970 1120 1164 1280 1344 1358 1455 1536 1552 1680 1792 1920 1940 2037 2240 2328 2560 2688 2716 2910 3104 3360 3395 3584 3840 3880 4074 4480 4656 5376 5432 5820 6208 6720 6790 7680 7760 8148 8960 9312 10185 10752 10864 11640 12416 13440 13580 15520 16296 17920 18624 20370 21728 23280 24832 26880 27160 31040 32592 37248 40740 43456 46560 49664 53760 54320 62080 65184 74496 81480 86912 93120 108640 124160 130368 148992 162960 173824 186240 217280 248320 260736 325920 347648 372480 434560 521472 651840 744960 869120 1042944 1303680 1738240 2607360 5214720 10422217013927 20844434027854 31266651041781 41688868055708 52111085069635 62533302083562 72955519097489 83377736111416 104222170139270 125066604167124 145911038194978 156333255208905 166755472222832 208444340278540 218866557292467 250133208334248 291822076389956 312666510417810 333510944445664 364777595487445 416888680557080 437733114584934 500266416668496 583644152779912 625333020835620 667021888891328 729555190974890 833777361114160 875466229169868 1000532833336992 1010955050350919 1094332786462335 1167288305559824 1250666041671240 1334043777782656 1459110381949780 1667554722228320 1750932458339736 2001065666673984 2021910100701838 2188665572924670 2334576611119648 2501332083342480 2668087555565312 2918220763899560 3032865151052757 3335109444456640 3501864916679472 4002131333347968 4043820201403676 4377331145849340 4669153222239296 5002664166684960 5054775251754595 5336175111130624 5836441527799120 6065730302105514 6670218888913280 7003729833358944 7076685352456433 8004262666695936 8087640402807352 8754662291698680 9338306444478592 10005328333369920 10109550503509190 11672883055598240 12131460604211028 13340437777826560 14007459666717888 14153370704912866 15164325755263785 16008525333391872 16175280805614704 17509324583397360 18676612888957184 20010656666739840 20219101007018380 21230056057369299 23345766111196480 24262921208422056 26680875555653120 28014919333435776 28306741409825732 30328651510527570 32350561611229408 35018649166794720 35383426762282165 37353225777914368 40021313333479680 40438202014036760 42460112114738598 46691532222392960 48525842416844112 56029838666871552 56613482819651464 60657303021055140 64701123222458816 70037298333589440 70766853524564330 80042626666959360 80876404028073520 84920224229477196 93383064444785920 97051684833688224 106150280286846495 112059677333743104 113226965639302928 121314606042110280 129402246444917632 140074596667178880 141533707049128660 161752808056147040 169840448458954392 186766128889571840 194103369667376448 212300560573692990 226453931278605856 242629212084220560 258804492889835264 280149193334357760 283067414098257320 323505616112294080 339680896917908784 388206739334752896 424601121147385980 452907862557211712 485258424168441120 517608985779670528 560298386668715520 566134828196514640 647011232224588160 679361793835817568 776413478669505792 849202242294771960 905815725114423424 970516848336882240 1132269656393029280 1294022464449176320 1358723587671635136 1552826957339011584 1698404484589543920 1811631450228846848 1941033696673764480 2264539312786058560 2588044928898352640 2717447175343270272 3396808969179087840 3623262900457693696 3882067393347528960 4529078625572117120 5434894350686540544 6793617938358175680 7764134786695057920 9058157251144234240 10869788701373081088 13587235876716351360 18116314502288468480 27174471753432702720 54348943506865405440
- Sum of all divisors σ(n): 200614837346752840704
- Sum of proper divisors (its aliquot sum) s(n): 146265893839887435264
- 54348943506865405440 is an abundant number, because the sum of its proper divisors (146265893839887435264) is greater than itself. Its abundance is 91916950333022029824
Bases of 54348943506865405440
- Binary: 1011110010001111100011110000101010100111000111110000111110000000002
- Hexadecimal: 0x2F23E3C2A9C7C3E00
- Base-36: BGX1GKDXM696O
Squares and roots of 54348943506865405440
- 54348943506865405440 squared (543489435068654054402) is 2953807660312447314773439071855581593600
- 54348943506865405440 cubed (543489435068654054403) is 160536325660467478637171103311530405161632222367065309184000
-
The
square root of 54348943506865405440 is 7372173594.4608226133 -
The
cube root of 54348943506865405440 is 3787887.1807854259
Scales and comparisons
How big is 54348943506865405440?- 54,348,943,506,865,405,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 54,348,943,506,865,405,440 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 54348943506865405440 cubic inches would be around 315657.3 feet tall.
Recreational maths with 54348943506865405440
- 54348943506865405440 backwards is 04450456860534984345
- The number of decimal digits it has is: 20
- The sum of 54348943506865405440's digits is 87
- More coming soon!
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The information we have on file for 54348943506865405440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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